Question

Notify Me Bookmark

A 8 kg block is hanging from a 5 kg moving pulley. The system starts from rest at State 1. Between State 1 and State 2 a constant 100 N force is applied to the end of the cable. What is the speed of the block after it has moved up by 0.8 m? Ignore friction in the system, the mass of the cable, and the mass of the small stationary pulley (but don't ignore the mass and size of the large moving pulley or the block). State 1 State 2 v1 = 0

A 8 kg block is hanging from a 5 kg moving pulley. The system starts from rest at State 1. Between State 1 and State 2 a constant 100 N force is applied to the end of the cable. What is the speed of the block after it has moved up by 0.8 m? Ignore friction in the system, the mass of the cable, and the mass of the small stationary pulley (but don't ignore the mass and size of the large moving pulley or the block). State 1 State 2 v1 = 0

Image text
  1. A 8 k g block is hanging from a 5 k g moving pulley. The system starts from rest at State 1. Between State 1 and State 2 a constant 100 N force is applied to the end of the cable. What is the speed of the block after it has moved up by 0.8 m ? Ignore friction in the system, the mass of the cable, and the mass of the small stationary pulley (but don't ignore the mass and size of the large moving pulley or the block). State 1 State 2 _
v 1 = 0

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A hanging weight, with a mass of m1 = 0.360 kg, is attached by a string to a block with mass m2 = 0.850 kg as shown in the figure below. The string goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the string does not stretch and does not slip on the pulley, and that the mass of the string is negligible. (a) Using energy methods, find the speed of the block (in m/s ) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s

Solution
0 0

A hanging weight, with a mass of m1 = 0.360 kg, is attached by a cord to a block with mass m2 = 0.850 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. (a) Using energy methods, find the speed of the block (in m/s ) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s
Solution
0 0

The block has a mass of 0.5 kg and moves within the smooth vertical slot. If the block starts from rest when the attached spring is in the unstretched position at A, determine the constant vertical force F which must be applied to the cord so that the block attains a speed vB = 5 m/s when it reaches B; sB = 0.25 m. Neglect the mass of the cord and pulley. a. (5 points) Establish a coordinate system, specify the direction and sense of the forces, displacement, velocity, etc. b. (10 points) Select a position between A and B. Draw the free-body-diagram. c. (10 points) List the forces doing work on the block when it moves from A to B. d. (5 points) Calculate the kinetic energy of the black when it arrives at B. e. (20 points) Use the principle of work and energy to solve for the constant vertical force F. Hint: when the block moves from A to B, how far does F travel in its direction? How much work does it do?
Solution
0 0